Delay-independent Stability of Cone-invariant Monotone Systems
2015 (English)In: 54th IEEE Conference on Decision and Control (CDC), IEEE , 2015, 6361-6366 p.Conference paper (Refereed)
Recent results in the literature have shown that particular classes of positive systems are insensitive to time-varying delays, giving the impression that the delay-insensitivity property stems from the fact that the system is positive. Nonetheless, it has been lately shown that a linear cone-invariant system is insensitive to time-varying delays, asserting that the property of delay-independence may stem from the fact that the system is cone-invariant rather than positive. In this paper, we provide additional evidence for this claim by analyzing the stability of cone-invariant monotone systems with bounded time-varying delays. We present a set of sufficient conditions for delay independent stability of discrete- and continuous-time cone-invariant monotone systems. For linear cone-invariant systems, we show that thestability conditions we have derived are also necessary.
Place, publisher, year, edition, pages
IEEE , 2015. 6361-6366 p.
Positive system, Stability, Cone, Delay
Engineering and Technology
IdentifiersURN: urn:nbn:se:kth:diva-183456DOI: 10.1109/CDC.2015.7403221ScopusID: 2-s2.0-84961990693OAI: oai:DiVA.org:kth-183456DiVA: diva2:911485
QC 201603142016-03-122016-03-122016-03-14Bibliographically approved